The diagram shows A(−3,5) and B(8,1).
Points A and B in the coordinate plane with the coordinates given.
What is the distance between the points?
Enter your answer as a number, without units.
Round your answer to one decimal place, if necessary, like this: 42.5
Brun no one asked anyways it's 137
To find the distance between two points, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's substitute the coordinates of points A and B into the formula:
d = sqrt((8 - (-3))^2 + (1 - 5)^2)
Simplifying the expression inside the square root:
d = sqrt((8 + 3)^2 + (1 - 5)^2)
d = sqrt(11^2 + (-4)^2)
d = sqrt(121 + 16)
d = sqrt(137)
Using a calculator, we find that the square root of 137 is approximately 11.7.
Therefore, the distance between points A and B is approximately 11.7.
To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is derived from Pythagoras' theorem and can be written as:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, point A has coordinates (-3, 5) and point B has coordinates (8, 1). Applying the distance formula:
Distance = √((8 - (-3))^2 + (1 - 5)^2)
Simplifying the expression inside the square root:
Distance = √((8 + 3)^2 + (1 - 5)^2)
Distance = √(11^2 + (-4)^2)
Distance = √(121 + 16)
Distance = √137
Rounding to one decimal place:
Distance ≈ 11.7
Therefore, the distance between points A and B is approximately 11.7 units.
This is an example of why some questions go unanswered.
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Unfortunately, this is not clearly explained when students post their questions and attempt to include figures.